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arXiv · 2608.24718

Splitting and loop theorems in logarithmic Gromov--Witten theory

Leo Herr·David Holmes·Pim Spelier
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Abstract

We define a new theory of logarithmic Gromov--Witten invariants allowing negative contact orders using pierced logarithmic curves. We prove that these classes satisfy logarithmic birational invariance and satisfy loop and splitting theorems generalising those for classical Gromov--Witten invariants.

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Leo Herr, David Holmes, Pim Spelier. 2026-08-25. Splitting and loop theorems in logarithmic Gromov--Witten theory. https://arxiv.org/abs/2608.24718

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